advertisement

cpsc 121 (or base Worksheet on binary, octal, decimal, and hexadecimal 2, 8, 10, and 16) Base Digits 2 0,1 0,1,2,3,4,5,6,7 8 0,1,2,3,4,5,6,7,8,9 10 0,1,2,3,4,5,6,7,8,9,A,B,C,D,E,F 16 Example decimal equivalent 1011 1*8+0*4+1*2+1*1=11 362 3*64+6*8+2=242 2973 2*1000+9*100+7*10+3 C6A 12*16*16+6*16+10 note: * means multiplication Homework Due Friday, 9/11/09 at class time - SHOW your work! 1) Convert the binary number 1011100 to a) decimal b) octal (hint: group by 3's starting at the right) c) hexadecimal (hint: group by 4's starting at the right) 2) Convert the binary number 110011110 to a) decimal b) octal c) hexadecimal 3) Convert octal number 347 to a) decimal b) binary (hint: write each digit as a 3-digit binary) c) hexadecimal 4) Convert decimal 28 to binary 5) Convert decimal 6.25 to binary 6) What representation system do most computer systems use to store both positive and negative numbers? Why?